Question

Which formula gives the Multiplication Theorem for two events when \[P(E) \ne 0\]?

Options

• \[P(E \cap F)=P(F)\cdot P(E\mid E)\]

• \[P(E \cap F)=P(E\mid F)\cdot P(F\mid E)\]

• \[P(E \cap F)=P(E)\cdot P(F\mid E)\]

• \[P(E \cap F)=P(E)+P(F\mid E)\]

Answer 1

The equivalent two-event form is \[P(E \cap F)=P(E)\cdot P(F\mid E)\]. This form requires \[P(E)\ne0\].